Mathematics, 15.07.2020 01:01 vanessacox45
Find F as a function of x and evaluate it at x = 2, x = 4 and x = 8. F(x) = x (t3 + 4t − 2) 2 dt?
Answers: 1
, to express f as a function of x, we need to first integrate the function given with respect to t as shown;![f(x) =\int\limits^x_2 {(t^{3}+4t-2 }) \, dt\\\\f(x) = [\frac{t^{4} }{4} + \frac{4t^{2} }{2}-2t]\left \ {t =x} \atop {t=2}} \right.](/tpl/images/0706/4209/127f6.png)
![f(x) = [\frac{t^{4} }{4} + 2t^{2}-2t]\left \ {t =x} \atop {t=2}} \right.\\when\ t = x\\f(x) = \frac{x^{4} }{4} + 2x^{2}-2x\\\\](/tpl/images/0706/4209/5ecc7.png)
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Find F as a function of x and evaluate it at x = 2, x = 4 and x = 8. F(x) = x (t3 + 4t − 2) 2 dt?...
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